Finding spring compression using PE

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SUMMARY

The discussion focuses on calculating the maximum compression of a spring when a block of mass 2.0 kg is dropped from a height of 55 cm onto a spring with a spring constant of 1960 N/m. Using the conservation of energy principle, the kinetic energy of the block at the moment before impact is equal to the potential energy at the initial height and the elastic potential energy stored in the spring at maximum compression. The formula used is 1/2 kx², where x represents the distance the spring is compressed.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Familiarity with kinetic and potential energy equations
  • Knowledge of Hooke's Law and spring constants
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the initial potential energy of the block using the formula PE = mgh
  • Determine the kinetic energy of the block just before it hits the spring
  • Apply the conservation of energy to find the maximum compression of the spring
  • Explore variations in spring constants and their effects on compression
USEFUL FOR

Students in physics, engineers working with mechanical systems, and anyone interested in understanding spring dynamics and energy conservation principles.

emilykorth
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How do you do this? A block of mass m = 2.0 kg is dropped from height h = 55 cm onto a spring of spring constant k = 1960 N/m . Find the maximum distance the spring is compressed.
m
 
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the conservation law of energy:
the kinetic energy of the block=the potential energy at the beginning=1/2kx(square) with x the distance the spring is compressed
 

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